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If a line has the equation 3x - 4y = 12, what is the y-intercept of the line?
If a line has the equation 3x - 4y = 12, what is the y-intercept of the line?
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If a line has the equation 3x - 4y = 12, what is the y-intercept of the line?
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To find the y-intercept, set x = 0. The equation becomes -4y = 12, thus y = -3. The y-intercept is (0, -3).
Questions & Step-by-step Solutions
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Q: If a line has the equation 3x - 4y = 12, what is the y-intercept of the line?
Solution:
To find the y-intercept, set x = 0. The equation becomes -4y = 12, thus y = -3. The y-intercept is (0, -3).
Steps: 7
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Step 1: Start with the equation of the line: 3x - 4y = 12.
Step 2: To find the y-intercept, set x = 0 in the equation.
Step 3: Substitute x = 0 into the equation: 3(0) - 4y = 12.
Step 4: This simplifies to -4y = 12.
Step 5: To solve for y, divide both sides by -4: y = 12 / -4.
Step 6: This gives y = -3.
Step 7: The y-intercept is the point where the line crosses the y-axis, which is (0, -3).
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